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iGCSE (2021 Edition)

3.06 Dividing with decimals

Worksheet
Estimation
1
a

Choose the most reasonable estimate for 2.8 \div 7:

A

Between 0 and 1

B

Between 1 and 7

C

Less than 0

D

Between 10 and 70

b

Calculate 2.8 \div 7.

2
a

Choose the most reasonable estimate for 92.1 \div 3:

A

31

B

310

C

3.1

D

0.31

b

Calculate 92.1 \div 3.

3

For each of the following divisions:

i

Estimate the value.

ii

Calculate the exact value.

a
979.8 \div 2
b
7.776 \div 2
c
793.6 \div 8
d
56.231 \div 7
Partition method
4
a

Which of the following is the same as 0.9?

A

Nine tenths

B

Nine

C

Nine units

D

Nine tens

b

Hence, find 0.9 \div 3, giving your answer as a decimal.

5

To find 48.8 \div 4 we partition the number as follows:

48.8 = 40 + 8 + 0.8
a

Calculate:

i
40 \div 4
ii
8 \div 4
iii
0.8 \div 4
b

Add the answers to part (a) to find 48.8 \div 4.

6

Consider the quotient of 93.63 \div 3.

a

Write 93.63 as a partitioned number.

b

Divide each part by 3 and write as a sum.

c

Add the answers to part (b) to find 93.63 \div 3.

7

Consider the quotient of 255.15 \div 5.

a

Write 255.15 as a partitioned number.

b

Divide each part by 5 and write as a sum.

c

Add the answers to part (b) to find 255.15 \div 5.

Short division
8

Evaluate:

a
24.24 \div 3
b
11.54 \div 2
c

52.68 \div 6

d

245.37 \div 3

e

393.68 \div 7

f

588.6 \div 9

g

538.32 \div 6

h

1061.2 \div 8

9

Consider the quotient of 3.36 divided by 0.3.

a

By what multiple of ten should both numbers be multiplied by, so that the divisor, 0.3, is a whole number?

b

Rewrite 3.36 \div 0.3 so that the divisor is a whole number.

c

Hence calculate 3.36 \div 0.3.

10

Consider the quotient of 4.808 divided by 0.04.

a

By what multiple of ten should both numbers be multiplied by, so that the divisor, 0.04, is a whole number?

b

Rewrite 4.808 \div 0.04 so that the divisor is a whole number.

c

Hence calculate 4.808 \div 0.04.

11

Evaluate:

a

56 \div 0.7

b

1.2 \div 0.3

c

420 \div 0.7

d

8.1 \div 0.9

e

1.8 \div 0.09

f

2.94 \div 0.07

g

5.205 \div 0.05

h

84.06 \div 0.06

i

12 \div 0.003

j

10.8 \div 0.012

k

33 \div 0.011

l

6.4 \div 0.008

Mixed operations
12

Evaluate:

a
1.4 \div 0.2 \times 2
b
0.5\times 0.4\div 0.1
c
0.6\div 0.2+0.5
d
1.6\div0.2\div0.2
e
5.4\times 0.2\div0.4
f
0.6\div0.3+0.8\div0.4
g
0.16\div0.02+8.5
h
4.2\div0.05\div0.1
13

Evaluate:

a
7.2\div(0.1+0.2)
b
(8.6-5.2)\div0.2
c
0.6\times(6.4\div0.8)
d
9.9\div(1.2-0.3)
e
0.85\times(2.1\div0.3)
f
(1.6+0.8)\div(0.7-0.5)
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Outcomes

0580C1.8B

Use the four rules for calculations with decimals, including correct ordering of operations and use of brackets.

0580E1.8B

Use the four rules for calculations with decimals, including correct ordering of operations and use of brackets.

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